Geodesic
PPF dependent fixed points of generalized contractive type mappings using C-class functions with an application
Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1.

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In this paper, we prove the existence of PPF dependent fixed points of single-valued generalized $\alpha-\eta-\psi-\phi-F-$contraction type mappings and extend it to multi-valued $ \alpha^{*}-\psi-\phi-F-$contraction type mappings in Banach spaces. Also, we introduce the concept of $f-\alpha^{*}-$admissible mapping and prove the existence of PPF dependent coincidence points of a pair of single-valued and multi-valued mappings. A fixed point result in a Banach space endowed with a graph is obtained as an application of PPF dependent fixed point result of a single-valued mapping.
Publié le :
DOI : 10.30755/NSJOM.08210
Classification : 47H10, 54H25
Keywords: PPF dependent fixed point, Razumikhin class, multi-valued mapping, $\alpha-$admissible mapping, $\alpha^{*}-$admissible mapping, $C-$class function, graph, $G$-contraction 
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     title = {PPF dependent fixed points of generalized contractive type mappings using {C-class} functions with an application},
     journal = {Novi Sad Journal of Mathematics},
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     year = {2020},
     doi = {10.30755/NSJOM.08210},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.08210/}
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Gutti Venkata Ravindranadh Babu; Madugula  Vinod Kumar. PPF dependent fixed points of generalized contractive type mappings using C-class functions with an application. Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1. doi : 10.30755/NSJOM.08210. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.08210/

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